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Finding the Third Proportional to 12,614.06 and 19,789.31

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Solution

The third proportional to 12,614.06 and 19,789.31 is: 31,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.06 : 19,789.31 = 19,789.31 : x
  2. Step 2: Convert to fraction form
    12,614.06/19,789.31 = 19,789.31/x
  3. Step 3: Cross multiply
    12,614.06x = 19,789.31 × 19,789.31
  4. Step 4: Simplify right side
    12,614.06x = 391,616,889.22
  5. Step 5: Solve for x
    x = 391,616,889.22/12,614.06
  6. Step 6: Final answer
    x = 31,046.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.